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Finding the Third Proportional to 185,927.25 and 402,765.75

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Solution

The third proportional to 185,927.25 and 402,765.75 is: 872,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,927.25 : 402,765.75 = 402,765.75 : x
  2. Step 2: Convert to fraction form
    185,927.25/402,765.75 = 402,765.75/x
  3. Step 3: Cross multiply
    185,927.25x = 402,765.75 × 402,765.75
  4. Step 4: Simplify right side
    185,927.25x = 162,220,249,373.06
  5. Step 5: Solve for x
    x = 162,220,249,373.06/185,927.25
  6. Step 6: Final answer
    x = 872,493.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.